The geometry of constant mean curvature surfaces in ℝ³

2016/09/26 by Meeks, William H., Tinaglia, Giuseppe
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1609.08032

Abstract

We derive intrinsic curvature and radius estimates for compact disks embedded in ℝ³ with nonzero constant mean curvature and apply these estimates to study the global geometry of complete surfaces embedded in ℝ³ with nonzero constant mean curvature.

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